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Finding the Third Proportional to 240,411 and 374,224.50

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Solution

The third proportional to 240,411 and 374,224.50 is: 582,519.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,411 : 374,224.50 = 374,224.50 : x
  2. Step 2: Convert to fraction form
    240,411/374,224.50 = 374,224.50/x
  3. Step 3: Cross multiply
    240,411x = 374,224.50 × 374,224.50
  4. Step 4: Simplify right side
    240,411x = 140,043,976,400.25
  5. Step 5: Solve for x
    x = 140,043,976,400.25/240,411
  6. Step 6: Final answer
    x = 582,519.00

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.